removed bogus claim that christian mathematicians reject the axiom of infinity. a vandal here some time ago seems to have added similar claims to a number of math pages.
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However, in some non-standard model of [[Peano Arithmetic]], ∞ is treated as an actual number.
However, in some non-standard model of [[Peano Arithmetic]], ∞ is treated as an actual number.
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In [[Zermelo-Fraenkel]] set theory, one must assert that an infinite set exists. This is known as the [[Axiom of Infinity]]. Constructive mathematicians and practicians of [[elementary technique]]s deny this axiom believing that the world and human thought are necessarily [[finite]], the realm of the infinite being the realm solely of [[God]].
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In [[Zermelo-Fraenkel]] set theory, one must assert that an infinite set exists. This is known as the [[Axiom of Infinity]].